The lateral surface area of the triangular prism is 84 square inches
How to determine the lateral surface area of the triangular prism
From the question, we have the following parameters that can be used in our computation:
Height = 4.5 in
Equilateral bases = 4 in
Sides = 4 in by 7 in
The lateral surface area of the triangular prism is calculated using
LSA = (a + b + c) * h
Where
a = b = c = 4
l = 7 in
So, we have
LSA = (4 + 4 + 4) * 7
Evaluate
LSA = 84
Hence, the lateral surface area of the triangular prism is 84 square inches